3 papers
math.DS2026
Constructing far-from-equilibrium patterns in a cross-diffusion vegetation-autotoxicity model
Annalisa Iuorio, Cinzia Soresina, Frits Veerman
Using geometric singular perturbation theory, we construct stationary, periodic, front-type far-from-equilibrium patterns in a cross-diffusion model for plant growth under the infl…
nlin.PS2026
How inertia affects autotoxicity-mediated vegetation dynamics: from close-to to far-from-equilibrium patterns
Giancarlo Consolo, Carmela Currò, Gabriele Grifò +3
In this work, the influence of inertial effects on the formation and evolution of vegetation patterns on sloped arid terrains is investigated from the onset of instability to far-f…
math.AP2026
Travelling front solutions in a spatially heterogeneous reaction-diffusion system
M. Chirilus-Bruckner, L. van Vianen, F. Veerman
We investigate a two-component reaction-diffusion system with a slow-fast structure and spatially varying coefficients and appearing in the slow equation. Under mild bo…